Which is equal to 9^-13? Choices: (A)-(-9)^13 (B)1/9^13 (C)1/(-9)^-13 (D)(-9)^-13

Understand expression: Understand the expression 9^-13. Identify the base and the exponent. In 9^-13, 9 is the base raised to the exponent -13. Base: 9 Exponent: -13Identify base and exponent: Apply the negative exponent rule. The negative exponent rule states that a^-m = 1 / a^m. Therefore, 9^-13 can be rewritten as 1 / 9^13.Apply negative exponent rule: Match the rewritten expression with the given choices. The expression 1 / 9^13 matches choice (B) 1/9^13.

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Which is equal to $9^{-13}$ ? $\newline$ Choices: $\newline$ (A) $-(-9)^{13}$ $\newline$ (B) $\frac{1}{9^{13}}$ $\newline$ (C) $\frac{1}{(-9)^{-13}}$ $\newline$ (D) $(-9)^{-13}$

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Q. Which is equal to

9^{-13}

\newline

Choices:

\newline

(A)

-(-9)^{13}

\newline

(B)

\frac{1}{9^{13}}

\newline

(C)

\frac{1}{(-9)^{-13}}

\newline

(D)

(-9)^{-13}

Understand expression: Understand the expression $9^{-13}$ . Identify the base and the exponent. In $9^{-13}$ , $9$ is the base raised to the exponent $-13$ . Base: $9$ Exponent: $-13$
Identify base and exponent: Apply the negative exponent rule. $\newline$ The negative exponent rule states that $a^{-m} = \frac{1}{a^m}$ . $\newline$ Therefore, $9^{-13}$ can be rewritten as $\frac{1}{9^{13}}$ .
Apply negative exponent rule: Match the rewritten expression with the given choices. $\newline$ The expression $1 / 9^{13}$ matches choice (B) $1/9^{13}.$